By Jeff Mason

WASHINGTON (Reuters) -Despite evidence that the conflict between Israel and Iran is escalating, U.S. President Donald Trump expressed optimism on Sunday that peace would come soon and cited the possibility that Russia's Vladimir Putin could help.

In a social media post, Trump said there were many unspecified meetings about the issue happening and encouraged the two countries to make a deal. And in an interview with ABC News, he said he was open to Putin, whose forces invaded Ukraine and who has resisted Trump's attempts to broker a ceasefire with Kyiv, serving as a mediator.  

Israel and Iran launched fresh attacks on each other overnight into Sunday, killing scores.

"Iran and Israel should make a deal, and will make a deal," Trump wrote on his Truth Social site. "We will have PEACE, soon, between Israel and Iran! Many calls and meetings now taking place."

Trump did not offer any details about the meetings or evidence of progress toward peace. His assertion contradicted comments by Prime Minister Benjamin Netanyahu, who said on Saturday that Israel's campaign against Iran would intensify.

A White House spokeswoman did not immediately respond to a request for comment on how Trump and the White House were working to de-escalate the situation in the Middle East.

Trump told ABC News that Iran wanted to make a deal and indicated something like the Israel strikes would accelerate that. "Something like this had to happen because I think even from both sides, but something like this had to happen. They want to talk, and they will be talking," Trump said, according to ABC reporter Rachel Scott. "May have forced a deal to go quicker, actually."

The United States has engaged in talks with Iran about its nuclear program and Trump has told reporters previously that the talks were going well. But another round of discussions scheduled for Sunday in Oman was canceled after the Israeli and Iranian strikes.

Trump said he and Putin had discussed the situation in the Middle East on Saturday in a call that focused more on that conflict than the Russian war in Ukraine.

"He is ready. He called me about it," Trump said about Putin serving as a mediator, according to Scott. "We had a long talk about it. We talked about this more than his situation. This is something I believe is going to get resolved."

Trump, who portrays himself as a peacemaker and has drawn criticism from his political base for not being able to prevent the Israel-Iran conflict, cited other disputes that he took responsibility for solving, including between India and Pakistan, and lamented not receiving more praise for doing so.

"I do a lot, and never get credit for anything, but that’s OK, the PEOPLE understand. MAKE THE MIDDLE EAST GREAT AGAIN!" he wrote on Truth Social.

(Reporting by Jeff Mason in Washington; Additional reporting by Michael Martina in Washington; Editing by Michelle Nichols, Jan Harvey, Bill Berkrot and Matthew Lewis)